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Some slant submanifolds of S-manifolds
Authors:Alfonso Carriazo  Luis M. Fernández  María Belén Hans-Uber
Affiliation:(1) Department of Geometry and Topology, Faculty of Mathematics, University of Sevilla, Apartado de Correos 1160, 41080-Sevilla, Spain;(2) Department of Geometry and Topology, Faculty of Mathematics, University of Sevilla, Apartado de Correos 1160, 41080-Sevilla, Spain;(3) Department of Geometry and Topology, Faculty of Mathematics, University of Sevilla, Apartado de Correos 1160, 41080-Sevilla, Spain
Abstract:Summary We study some special types of slant submanifolds of S-manifolds related to the second fundamental form of the immersion: totally f-geodesic and f-umbilical, pseudo-umbilical and austere submanifolds. We also give several examples of such submanifolds.
Keywords:S-manifold  slant immersion  second fundamental form  totally f-umbilical submanifold  austere submanifold
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